Shannon had 120 pencils.
45 of them were silver pencils and the rest were gold pencils. After she had given away some silver pencils, the ratio of the number of silver pencils to the number of gold pencils became 3 : 4. How many pencils did she have in the end?
| |
Silver |
Gold |
Total |
| Before |
4x4 =
16 u |
1x4 =
4 u |
5x4 =
20 u |
| Change |
- 13 u |
|
|
| After |
3 u |
4 u |
7 u |
The number of gold pencils remained unchanged.
LCM of 1 and 4 = 4
Total number of pencils at first = 20 u
20 u = 120
1 u = 120 ÷ 20 = 6
Number of pencils that Shannon had in the end
= 3 u + 4 u
= 7 u
= 7 x 6
= 42
Answer(s):42
